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Finding the Third Proportional to 71,844.47 and 156,119.91

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Solution

The third proportional to 71,844.47 and 156,119.91 is: 339,252.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,844.47 : 156,119.91 = 156,119.91 : x
  2. Step 2: Convert to fraction form
    71,844.47/156,119.91 = 156,119.91/x
  3. Step 3: Cross multiply
    71,844.47x = 156,119.91 × 156,119.91
  4. Step 4: Simplify right side
    71,844.47x = 24,373,425,127.51
  5. Step 5: Solve for x
    x = 24,373,425,127.51/71,844.47
  6. Step 6: Final answer
    x = 339,252.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.